   Chapter 13.5, Problem 13.8SC ### Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425

#### Solutions

Chapter
Section ### Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425
Textbook Problem
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# trong>Exercise 13.8 A sample of argon gas with a volume of 11 .0  L at a temperature of 13 ° C and a pressure of 0. 747 atm is heated to 56 ° C and a pressure of 1 . 18 atm. Ca1culate the final volume.

Interpretation Introduction

Interpretation:

The final volume of sample of argon gas should be determined.

Concept introduction:

The final volume of argon gas in this case can be determined using ideal gas law. Ideal gas law is a hypothetical law and is mathematically expressed as:

PV = nRT

Where,

P is the pressure of the gas

V is the volume of the gas

T is the absolute temperature of the gas

R is the gas constant and

n is the number of moles of the gas molecules

The ideal gas law can also be represented as:

P1V1T1=P2V2T2.

Explanation

Here given,

P1 = 0.747 atm

V1 = 11 L

T1 = 13° C = (273+13) K = 286 K

and

P2 = 1.18 atm

V2 = ? (need to be determined)

T2 = 56° C = (273+56) K = 329 K

Therefore,

P1V1T1=P2V2T2

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